The weight of 14 healthy newborn children was measured. The sample mean was 7.5 pounds with the corresponding standard deviation 1.2 pounds. These babies are from one hospital and we want to test whether the babies born at this hospital are different in weight from the babies born at the hospital across town, which have a mean weight of 7.75 lbs. What would be the hypotheses for this test?What is the p-value for this test?
Using an ? =0.025, what are the test statistic and rejection region?What would be your conclusion?